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Global solutions for quasilinear parabolic systems
Authors:Adrian Constantin  Joachim Escher
Affiliation:a Department of Mathematics, Lund University, PO Box 118, 22100 Lund, Sweden
b Institute of Applied Mathematics, University of Hannover, Welfengarten 1, 30167 Hannover, Germany
c Department of Mathematics, Zhongshan University, 510275 Guangzhou, China
Abstract:We present an approach for proving the global existence of classical solutions of certain quasilinear parabolic systems with homogeneous Dirichlet boundary conditions in bounded domains with a smooth boundary.
Keywords:35K55
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